English

Weighted Lebesgue and central Morrey estimates for p-adic multilinear Hausdorff operators and its commutators

Functional Analysis 2018-10-17 v1

Abstract

In this paper, we establish the sharp boundedness of p-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of p-adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is also obtained.

Keywords

Cite

@article{arxiv.1810.06896,
  title  = {Weighted Lebesgue and central Morrey estimates for p-adic multilinear Hausdorff operators and its commutators},
  author = {Nguyen Minh Chuong and Dao Van Duong and Kieu Huu Dung},
  journal= {arXiv preprint arXiv:1810.06896},
  year   = {2018}
}